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Finding the Fourth Proportional to 209,510.62, 314,268.82 and 59,750.98

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Solution

The fourth proportional to 209,510.62, 314,268.82 and 59,750.98 is: 89,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,510.62 : 314,268.82 = 59,750.98 : x
  2. Step 2: Convert to fraction form
    209,510.62/314,268.82 = 59,750.98/x
  3. Step 3: Cross multiply
    209,510.62x = 314,268.82 × 59,750.98
  4. Step 4: Simplify right side
    209,510.62x = 18,777,869,978.44
  5. Step 5: Solve for x
    x = 18,777,869,978.44/209,510.62
  6. Step 6: Final answer
    x = 89,627.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.